square matrix is called a permutation matrix if it contains the entry 1 exactly once in sach row and in each column, with all other entries being 0. All permutation matrices are Invertible. Find the inverse of the permutation matrix [o 0 1 0] 10 0 0 A = 0 1 0 1 0 0 A- =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.3: The Inverse Of A Matrix
Problem 44EQ
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A square matrix is called a permutation matrix if it contains the entry 1 exactly once in
each row and in each column, with all other entries being 0. All permutation matrices are
invertible. Find the inverse of the permutation matrix
1
1
A =
0 0 0
0 1
1
0 0
A-1 =
||
Transcribed Image Text:A square matrix is called a permutation matrix if it contains the entry 1 exactly once in each row and in each column, with all other entries being 0. All permutation matrices are invertible. Find the inverse of the permutation matrix 1 1 A = 0 0 0 0 1 1 0 0 A-1 = ||
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